What is negative 92 times negative 67?




92 times 67 is 6164, but what is the answer if both 92 and 67 are negative numbers? Here we will determine if the answer to negative 92 times negative 67 is positive 6164 or negative 6164.

There are many different ways to explain and determine if the answer to negative 92 times negative 67 is -6164 or +6164 using mathematical terms such as additive inverse and mathematical laws like the Distribute Law.

We will take a different approach - process of elimination: We will simply test if -6164 is the correct answer using basic algebra.

We will test if -6164 is correct by setting up the equation negative 92 times negative 67 equals negative 6164, and then simplifying the equation to see if it is true.

(-92) (-67) = (-6164)

Divide both sides of the equation by (-67) :

   
(-92) (-67)
 
   
(-67)
 =
   
(-6164)
 
   
(-67)

The numerator and denominator on the left side both have (-67) which even each other out and can be removed:

  (-92) =
   
(-6164)
 
   
(-67)

The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:

  (-92) =
   
(6164)
 
   
(67)

A numerator of 6164 and denominator of 67 on the right side is the same as 6164 divided by 67 which is 92. Now we end up with this untrue equation:

(-92) = (92)

-92 is NOT equal to 92, thus we have proven that negative 92 times negative 67 is not equal to -6164. The answer must therefore be 6164:

-92 x -67 = 6164


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 92 times negative 67 will always have a positive answer.

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What is negative 92 times negative 68?
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